2723628240 has 100 divisors (see below), whose sum is σ = 9459586884. Its totient is φ = 726299136.

The previous prime is 2723628233. The next prime is 2723628277. The reversal of 2723628240 is 428263272.

It is a happy number.

2723628240 is a `hidden beast` number, since 2 + 7 + 2 + 3 + 628 + 24 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 721244736 + 2002383504 = 26856^2 + 44748^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2723628195 and 2723628204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 203677 + ... + 216636.

Almost surely, 2^2723628240 is an apocalyptic number.

2723628240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2723628240 is an abundant number, since it is smaller than the sum of its proper divisors (6735958644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2723628240 is a wasteful number, since it uses less digits than its factorization.

2723628240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420338 (or 420323 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2723628240 is about 52188.3918127394. The cubic root of 2723628240 is about 1396.5268056062.

The spelling of 2723628240 in words is "two billion, seven hundred twenty-three million, six hundred twenty-eight thousand, two hundred forty".